Title :
New linear codes over Z/sub ps/ via the trace map
Author :
Rao, Asha ; Pinnawala, Nimalsiri
Author_Institution :
Sch. of Math. & Geospatial Sci., RMIT Univ., Melbourne, Vic.
Abstract :
The trace map has been used very successfully to generate cocyclic complex and Butson Hadamard matrices and simplex codes over Z4 and Z2s. We extend this technique to obtain new linear codes over Zps. It is worth nothing here that these codes are cocyclic but not simplex codes. Further we find that the construction method also gives Butson Hadamard matrices of order psm
Keywords :
Hadamard matrices; linear codes; Butson Hadamard matrices; Zps; cocyclic complex; linear codes; simplex codes; trace map; Australia; Error correction; Error correction codes; Hamming weight; Indexing; Linear code;
Conference_Titel :
Information Theory, 2005. ISIT 2005. Proceedings. International Symposium on
Conference_Location :
Adelaide, SA
Print_ISBN :
0-7803-9151-9
DOI :
10.1109/ISIT.2005.1523306